IIT JEEE Mathematics-1990

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IITJEE –Past papers:

IITJEE –Past papers MATHEMATICS - UNSOLVED PAPER - 1990

SECTION – I:

SECTION – I Single Correct Answer Type There are 8 parts in this question. Four choices are given for each part and only one of them is correct.

Problem:

01 The equation in the variable x, has real roots. Then p can take any value in the interval a.(0,2 π ) b.(- π ,0) c.(- π /2, π /2) d.(0, π ) Problem

Problem:

Problem 02 In a triangle ABC, angle A is greater than angle B. If the measures of angles A and B satisfy the equation then the measure of angle C is a. b. c. d.

Problem:

Problem 03 The number of real solutions of the equation is 0 1 2 infinitely many

Problem:

Problem 04 Line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed ,the same line L has intercepts p and q. Then a. b. c. d.

Problem:

Problem 05 Let be a differentiable function and f(1)=4.Then the value of is a. 8f’(1) b. 4f’(1) c. 2f’(1) d. f’(1)

Problem:

Problem 06 Let be continuous functions. Then the value of the integral is π 1 -1 0

Problem:

Problem 07 Let f(x) be a quadratic expression which is positive for all real x .If g(x)=f(x)+f’(x)+ f”(x) ,than for any real x, a. b. c. d.

Problem:

08 Problem The number log 2 7 is an integers a rational number an irrational number a prime number

SECTION – I:

SECTION – I Fill in the blanks This question contains 5 incomplete statements. In each part, fill in the blanks so that the resulting statement is correct .

Problem:

Problem 01 If , then _________ = for x=20

Problem:

Problem 02 _________

Problem:

Problem 03 If then A=________ ,B=_______,C=_____ .

Problem:

04 Let A and B be two events such that P(A)=0.3 and 0.8.IfA and B are independent events, than p(B)= __________ . Problem

Problem:

Problem 05 If , then ________, and ________

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